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Finding the Third Proportional to 22,602 and 34,968

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Solution

The third proportional to 22,602 and 34,968 is: 54,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602 : 34,968 = 34,968 : x
  2. Step 2: Convert to fraction form
    22,602/34,968 = 34,968/x
  3. Step 3: Cross multiply
    22,602x = 34,968 × 34,968
  4. Step 4: Simplify right side
    22,602x = 1,222,761,024
  5. Step 5: Solve for x
    x = 1,222,761,024/22,602
  6. Step 6: Final answer
    x = 54,099.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.